Call into 614-LULZSEC and pick a target and we'll obliterate it.
Nobody wants to mess with The Lulz Cannon - take aim for us, twitter. #FIRE

In addition to attacks on League of Legends, EVE Online,
and Minecraft, the group attacked gaming magazine The
Escapist, and government-software contractor Finfisher, as we summarize here.

But the group also let slip that it's waiting on 8 phone requests for
additional targets. It's unclear whether the group will hit those targets
today, or take a break from firing its DDoS "cannon".

LulzSec implied in one tweet that it's infecting 4Chan users
and using their machines in a distributed denial of service (DDoS) botnet.
The group writes:

The best part about making 50% of all /b/tards our bots is that
they leave their daddy's laptops on 24/7, more bandwidth for us. :3

The fact that the group is taking phone calls at a time when they've attacked
the U.S. government from several angles is rather bold -- some would say
foolish. Clearly the art of phone obfuscation is not dead, given that no
arrests have been made yet, despite the group's active call line, which is
surely being observed by the U.S.
Federal Bureau of Investigation and others.

DDoS hacks aren't "official" hacks according to the band of bandits.
They state:

We didn't hack any games, we just DDoS'd them with our
not-to-be-messed-with Lulz Cannon. :D We did hack these though: lulzsecurity.com/releases

We'll keep you updated on who gets hacked/DDoSed next "for the lulz".

Update: Wed. June 15, 2011 12:50 p.m. --

It appears that LulzSec has taken down the server for MMORPG Heroes of Newerth (a game very similar to World of Warcraft). The group mocks that Defense of the Ancients ("DotA") custom scenario for Warcraft III: Reign of Chaos "is better."

The group also posted to Twitter that it's preparing for another EVE Online attack.